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Finding the Fourth Proportional to 200.66, 274.87 and 198.50

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Solution

The fourth proportional to 200.66, 274.87 and 198.50 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.66 : 274.87 = 198.50 : x
  2. Step 2: Convert to fraction form
    200.66/274.87 = 198.50/x
  3. Step 3: Cross multiply
    200.66x = 274.87 × 198.50
  4. Step 4: Simplify right side
    200.66x = 54,561.70
  5. Step 5: Solve for x
    x = 54,561.70/200.66
  6. Step 6: Final answer
    x = 271.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.